International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 1996
Volume 6 - 1996

Domain optimization problem for stationary heat equation

Antoine Henrot, Werner Horn, Jan Sokołowski

In the paper, the support of a Radon measure is selected in an optimal way. The solution of the second-order elliptic equation depends on the measure via the mixed-type boundary conditions. The existence of a solution for a class of domain optimization problems is shown. A relaxed formulation of the optimization problems is proposed. The first-order necessary optimality conditions are derived.